SOLUTION: please help me solve 216^-5/3

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Question 603395: please help me solve 216^-5/3
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
+matrix%282%2C1%2C%22%22%2C216%5E%28-5%2F3%29%29

Use the rule for negative exponents which is A%5E%28-N%29 = 1%2F%28A%5EN%29

1%2F%28+matrix%282%2C1%2C%22%22%2C216%5E%285%2F3%29%29%29

Use the rule for fractional exponents +matrix%282%2C1%2C%22%22%2CA%5E%28M%2FN%29%29 = %28root%28N%2CA%29%29%5EM

1%2F%28root%283%2C216%29%29%5E5

Get the cube root of 216 which is 6

1%2F%286%5E5%29

1%2F7776

Edwin